On the existence of positive solutions of thep-Laplacian dynamic equations on time scales

2017 ◽  
Vol 40 (12) ◽  
pp. 4385-4399 ◽  
Author(s):  
Abdulkadir Dogan
Keyword(s):  
Positive Solutions ◽  
Time Scales ◽  
Dynamic Equations ◽  
Existence Of Positive Solutions

scholarly journals Existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales

2021 ◽  
Vol 7 (1) ◽  
pp. 20-29
Author(s):  
Faycal Bouchelaghem ◽  
Abdelouaheb Ardjouni ◽  
Ahcene Djoudi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Positive Solutions ◽  
Time Scales ◽  
Point Theorem ◽  
Main Tool ◽  
Second Order ◽  
Dynamic Equations ◽  
Existence Of Positive Solutions ◽  
Neutral Dynamic Equations

AbstractIn this article we study the existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales. The main tool employed here is Schauder’s fixed point theorem. The results obtained here extend the work of Culakova, Hanustiakova and Olach [12]. Two examples are also given to illustrate this work.

scholarly journals Existence and Iteration of Positive Solutions to Third-Order BVP for a Class ofp-Laplacian Dynamic Equations on Time Scales

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
A. Kameswara Rao
Keyword(s):  
Positive Solutions ◽  
Time Scales ◽  
Monotone Iterative Technique ◽  
Dynamic Equations ◽  
Laplacian Operator ◽  
Iterative Technique ◽  
Third Order ◽  
Iterative Schemes ◽  
Monotone Iterative ◽  
Existence Of Positive Solutions

We investigate the existence and iteration of positive solutions for the following third-orderp-Laplacian dynamic equations on time scales:(ϕp(uΔΔ(t)))∇+q(t)f(t,u(t),uΔΔ(t))=0,  t∈[a,b],αu(ρ(a))-βuΔ(ρ(a))=0,  γu(b)+δuΔ(b)=0,  uΔΔ(ρ(a))=0,whereϕp(s)isp-Laplacian operator; that is,ϕp(s)=sp-2s,  p>1,  ϕp-1=ϕq, and1/p+1/q=1.By applying the monotone iterative technique and without the assumption of the existence of lower and upper solutions, we not only obtain the existence of positive solutions for the problem, but also establish iterative schemes for approximating the solutions.

Positive Solutions of Impulsive Dynamic System on Time Scales

2012 ◽  
Vol 55 (1) ◽  
pp. 214-224
Author(s):  
Da-Bin Wang
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Dynamic System ◽  
Positive Solutions ◽  
Time Scales ◽  
Point Theorem ◽  
Dynamic Equations ◽  
Existence Of Positive Solutions

AbstractIn this paper, some criteria for the existence of positive solutions of a class of systems of impulsive dynamic equations on time scales are obtained by using a fixed point theorem in cones.

scholarly journals Existence of Positive Solutions forp-LaplacianDynamic Equations with Derivative on Time Scales

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Jinjun Fan ◽  
Liqing Li
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Positive Solutions ◽  
Time Scales ◽  
Point Theorem ◽  
Dynamic Equations ◽  
Existence Of Positive Solutions

We consider the existence of positive solutions of nonlinearp-Laplaciandynamic equations with derivative on time scales. Applying the Avery-Peterson fixed point theorem, we obtain at least three positive solutions to the problem. An example is also presented to illustrate the applications of the obtained results.

Existence of positive solutions of delay dynamic equations

Positivity ◽  
2017 ◽  
Vol 21 (4) ◽  
pp. 1483-1493 ◽  
Author(s):  
Faycal Bouchelaghem ◽  
Abdelouaheb Ardjouni ◽  
Ahcene Djoudi
Keyword(s):  
Positive Solutions ◽  
Dynamic Equations ◽  
Existence Of Positive Solutions ◽  
Delay Dynamic Equations
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